Question: Solving three nonlinear set of complicated equations...
I am struggling with these three equations.
The first is a nonlinear equation which can be solved numerically with the boundary conditions y(infinity)=0 and y'(0)=0.
a1 := diff(y(r), r, r) = -2*(diff(y(r), r))/r-1.3*10^12*polylog(3/2, exp(b(u-y(r))))
Now y(r) depends parametrically on u and b which can be determined using these equations:
a2 := -1.5*10^8*(int((3*polylog(5/2, exp(b(u-y(r))))/b^(5/2)+y(r)*polylog(3/2, exp(b(u-y(r))))/b^(3/2))*r^2, r = 0 .. 10)) = -129000
a3 := 3*10^8*(int(r^2*polylog(3/2, exp(b(u-y(r)))), r = 0 .. 10))/b^(3/2) = 1
I am new to maple and really struggling to solve these equations. Any help is welcome.
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